Academic year:

## Topics with syllabus and resources

100.00 Geometry

101.00 Similarity

- Introduction
- Test of similarity
- Properties of similar triangles
- Basic proportionality theorem
- Similarity in right angled triangle. Pythagoras theorem statement
- Pythagorian Triplets
- Application of Pythagoras theorem
- Appolloneous theorem

102.00 Circle

- Introduction
- Terms related to circle
- Properties of chords
- Properties of tangents
- Arc of circle

103.00 Trigonometry

- Basic concepts in Trigonometry
- Problems related to height and distance

200.00 Constructions

201.00 Geometric Constructions

- Construction of incircle of triangle
- Construction of circumcircle of triangle
- Tangents to the circle
- Construction related to design

300.00 Mensuration

301.00 Surface area and volume

- Parallelepiped
- Rectangular parallelopiped
- Cube
- Cylinder
- Cone
- Sphere and hemisphere

400.00 Statistics

401.00 Statistics

- Representation of data
- Histogram
- Frequency polygon
- Pie Diagram
- Measures of central tendency for grouped data
- Probability